1,300 research outputs found
Quasimorphisms and laws
Stable commutator length vanishes in any group that obeys a law
Some remarks on generalized roundness
By using the links between generalized roundness, negative type inequalities
and equivariant Hilbert space compressions, we obtain that the generalized
roundness of the usual Cayley graph of finitely generated free groups and free
abelian groups of rank equals 1. This answers a question of J-F.
Lafont and S. Prassidis.Comment: 3 page
On the dimension of Z-sets
We offer a short and elementary proof that, for a Z-set A in a
finite-dimensional ANR Y, dimA<dimY. This result is relevant to the study of
group boundaries. The original proof by Bestvina and Mess relied on
cohomological dimension theory.Comment: 4 pages, no figure
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